Finding the Third Proportional to 2,296 and 5,576

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296 : 5,576 = 5,576 : x
2. Step 2: Convert to fraction form
   2,296/5,576 = 5,576/x
3. Step 3: Cross multiply
   2,296x = 5,576 × 5,576
4. Step 4: Simplify right side
   2,296x = 31,091,776
5. Step 5: Solve for x
   x = 31,091,776/2,296
6. Step 6: Final answer
   x = 13,541.71